73286496 has 144 divisors (see below), whose sum is σ = 224078400. Its totient is φ = 22650624.

The previous prime is 73286471. The next prime is 73286503. The reversal of 73286496 is 69468237.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 322735 + ... + 322961.

It is an arithmetic number, because the mean of its divisors is an integer number (1556100).

Almost surely, 2^73286496 is an apocalyptic number.

73286496 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73286496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112039200).

73286496 is an abundant number, since it is smaller than the sum of its proper divisors (150791904).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

73286496 is a wasteful number, since it uses less digits than its factorization.

73286496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 310 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 73286496 is about 8560.7532378874. The cubic root of 73286496 is about 418.4799474811.

It can be divided in two parts, 7328 and 6496, that added together give a cube (13824 = 24³).

The spelling of 73286496 in words is "seventy-three million, two hundred eighty-six thousand, four hundred ninety-six".